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Finding the Fourth Proportional to 12,830.13, 19,241.37 and 5,434.47

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Solution

The fourth proportional to 12,830.13, 19,241.37 and 5,434.47 is: 8,150.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.13 : 19,241.37 = 5,434.47 : x
  2. Step 2: Convert to fraction form
    12,830.13/19,241.37 = 5,434.47/x
  3. Step 3: Cross multiply
    12,830.13x = 19,241.37 × 5,434.47
  4. Step 4: Simplify right side
    12,830.13x = 104,566,648.02
  5. Step 5: Solve for x
    x = 104,566,648.02/12,830.13
  6. Step 6: Final answer
    x = 8,150.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.